Results 1 to 10 of about 545 (160)
On the unramified extensions of the prime cyclotomic number field and its quadratic extensions [PDF]
Nagoya Mathematical Journal, 1989 It is interesting to know what kinds of primes are the factors of the class number of an algebraic number field, and especially to find ones being prime to the degree. About this matter it is desirable to construct the unramified Abelian extensions plainly. In this paper we shall show some of them for the prime cyclotomic number field and its quadratic
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Unit groups of some multiquadratic number fields and 2-class groups. [PDF]
Period Math Hung, 2022 Chems-Eddin MM.
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Modularity of PGL2(𝔽p)-representations over totally real fields. [PDF]
Proc Natl Acad Sci U S A, 2021 Allen PB, Khare CB, Thorne JA.
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A Density of Ramified Primes. [PDF]
Res Number Theory, 2022 Chan S, McMeekin C, Milovic D.
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ANTI-CYCLOTOMIC EXTENSION AND HILBERT CLASS FIELD
Journal of the Chungcheong Mathematical Society, 2012 In this paper, we show how to construct the first layer of anti-cyclotomic -extension of imaginary quadratic fields when the Sylow subgroup of class group of k is 3-elementary, and give an example. This example is different from the one we obtained before in the sense that when we write is obtained from non-units of .
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Another look at rational torsion of modular Jacobians. [PDF]
Proc Natl Acad Sci U S A, 2022 Ribet KA, Wake P.
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Zariski density of crystalline points. [PDF]
Proc Natl Acad Sci U S A, 2023 Böckle G, Iyengar A, Paškūnas V.
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CONSTRUCTION OF THE FIRST LAYER OF ANTI-CYCLOTOMIC EXTENSION
Korean Journal of Mathematics, 2013 In this paper, using a theorem of Brink for prime decomposition of the anti-cyclotomic extension, we explicitly construct the first layer of the anti-cyclotomic ${\mathbb Z}_3$-extension of imaginary quadratic fields.
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New Bounds and a Generalization for Share Conversion for 3-Server PIR. [PDF]
Entropy (Basel), 2022 Paskin-Cherniavsky A, Nissenbaum O.
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